ABC26PH0190 · Solid State Chemistry

Subject: Physical Chemistry · Chapter: Solid State Chemistry · Topic: Crystal Systems Lattices · Exam: CSIR-NET 2019 · Marks: 2 · Difficulty: Medium

The correct relationship among the following, for a tetragonal $\left(\mathrm{a}=\mathrm{b} \neq \mathrm{c}, \alpha=\beta=\gamma=90^{\circ}\right)$ crystal system, is
(a)$\sin ^{2} \theta=\frac{\lambda^{2}}{4 a^{2}}\left[c^{2}\left(h^{2}+k^{2 b}\right)+a^{2} l^{2}\right]$
(b)$\sin ^{2} \theta=\frac{\lambda^{2}}{4 a^{2} c^{2}}\left[c^{2}\left(h^{2}+k^{2 b}\right)+a^{2} l^{2}\right]$
(c)$\sin ^{2} \theta=\frac{\lambda^{2}}{4 c^{2}}\left[a^{2}\left(h^{2}+k^{2}\right)+c^{2} l^{2}\right]$
(d)$\left.\sin ^{2} \theta=\frac{\lambda^{2}}{4 a^{2}}\left(h^{2}+k^{2}\right)+l^{2}\right]$
Answer
Answer (as printed): A
Explanation
From Bragg's equation, $2d\sin\theta=n\lambda$. For a tetragonal crystal system, $a=b\neq c$.

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